Answer:
C.) -7x - 5y = -48
Step-by-step explanation:
slope AB = (y2 - y1)/(x2-x1)
= {4-(-1)}/{4-(-3)} = 4+1/4+3 = 5/7
slope of BC = -1 ÷ 5/7 = -1 × 7/5 = -7/5
taking -7x - 5y = -48
-5y = 7x -48
y = 7x/-5 - 48
y = -7/5x -48
Answer:
When you fill in the blanks you get ($0.25*x)+(0.1*y)+(0.05*z). When you evaluate it you get $1.35, which is the total amount of change in her pocket.
Step-by-step explanation:
All of the numbers that are given in the equation are values of the coins (ex: a quarter is worth $0.25) and the variables are the different coins. Multiply the quantity of each coin (that's the variable) by its value then add them together. Finally, plug in the numbers it gives you for x, y, and z.
I think you meant "y = 4 arccot (x)."
This is equivalent to:
y
---- = arccot x
4
and so cot (y/4) = x
Answer:
He can buy 4 model cars
Step-by-step explanation:
∵ His total money = the cost of books + the cost of model cars
∵ He buys 6 books and the price of each book is $2
∵ The cost of each model car is $7 , let the number of model cars is c
∵ He has $40
∴ 6 × 2 + 7 × c = 40
∴12 + 7c = 40
∴ 7c = 40 - 12 = 28
∴ c = 28/7 = 4
∴ He can buy 4 model cars
Answer:
20 meters square
Step-by-step explanation:
Surface Area of this square based pyramid = A = base area + 4* (face area)
A = (2 *2) + 4* ( (1/2)*2 * 4) )
A = 4 + 4*(4)
A = 4 + 16 = 20
A = 20 square meters